On zeros of some analytic spaces of area Nevanlinna type in halfplane

We introduce two new scales of spaces of Nevanlinna type in a halfplane C+ and provide descriptions of their zero sets and based on it we present parametric representations of these classes

Чат-боты на основе нейронных сетей для продуктивной работы бизнеса

Для решения определенных задач в работе систем взаимодействия клиентов с компанией, оказывающей услуги, необходима интеграция информационных технологий, а именно технологий искусственного интеллекта, в том числе чат-ботов. Их эффективность и увеличение объема продаж покрывают затраты, которые необходимы для его строительства, подключения и настройки.To solve certain problems in the operation of customer interaction systems with a company providing services, it is necessary to integrate information technologies, namely artificial intelligence technologies, including chat bots. Their effectiveness and increase in sales volume covers the costs that are necessary for its construction, connection and configuration

Development of the Digital System of Communications and Management in the Oil and Gas Industry

Многие компании в нефтяной отрасли не располагают адекватной цифровой системой коммуникаций и управления. Согласованность целей, наличие эффективных каналов коммуникации и обмена информацией между подрядчиком и заказчиком, позволяет снизить риск возникновения конфликтных ситуаций. Создание единой цифровой площадки, способной осуществлять совместное планирование ресурсов и контроля сроков и задач, становится закономерным шагом в управлении взаимодействием заказчика и исполнителяMany companies in the oil industry do not have an adequate digital communications and management system in place. Consistency of goals, the availability of effective channels of communication and information exchange between the contractor and the customer, can reduce the risk of conflict situations. The creation of a single digital platform capable of joint resource planning and control of deadlines and tasks is becoming a natural step in managing the interaction between the customer and the contracto

On some new sharp embedding theorems in minimal and pseudoconvex domains

summary:We present new sharp embedding theorems for mixed-norm analytic spaces in pseudoconvex domains with smooth boundary. New related sharp results in minimal bounded homogeneous domains in higher dimension are also provided. Last domains we consider are domains which are direct generalizations of the well-studied so-called bounded symmetric domains in $\mathbb {C}^{n}.$ Our results were known before only in the very particular case of domains of such type in the unit ball. As in the unit ball case, all our proofs are heavily based on nice properties of the $r$-lattice. Some results of this paper can be also obtained in some unbounded domains, namely tubular domains over symmetric cones

On some extremal problems in Bergman spaces in weakly pseudoconvex domains

summary:We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\mathbb {C}^{n}$ based on recent results on boundedness of Bergman projection with positive Bergman kernel in Bergman spaces $A_{\alpha }^{p}$ in such type domains. We provide some new sharp theorems for distance function in Bergman spaces in bounded weakly pseudoconvex domains with natural additional condition on Bergman representation formula

ON DECOMPOSITION THEOREMS OF MULTIFUNCTIONAL BERGMAN TYPE SPACES IN SOME DOMAINS IN Cn

We present some extensions of well-known one functional results on atomic decompositions in classical Bergman spaces obtained earlier by various authors in some new multifunctional Bergman type spaces in various domains in higher dimension

ON SOME SHARP THEOREMS ON DISTANCE FUNCTION IN HARDY TYPE, BERGMAN TYPE AND HERZ TYPE ANALYTIC CLASSES

We present some new sharp estimates concerning distance function in some new mixed norm and Lizorkin-Triebel type spaces in the unit ball.This leads at the same time to direct generalizations of our recent results on extremal problems in such Bergman type spaces. In addition new sharp results in this direction in Hardy-Morrey, and some new weighted Hardy classes in the unit ball and mixed norm Hardy type spaces and Herz type spaces in polyball will be provided and discussed

On Some New Results in Large Area Nevanlinna Spaces in the Unit Disk

The study of various infinite products in various spaces of analytic functions in the unit disk is a well known and well studied problem of complex function theory in the unit disk. The goal of our paper is to study so-called Blashcke type products in new large, general analytic area Nevanlinna spaces in the unit disk.A new approach is suggested in this paper, namely we prove, use and apply various new embedding theorems which relate new general, large analytic area Nevanlinna spaces with less general well-studied and wellknown such type analytic spaces in the unit disk. Our theorems can be applied or can be used even in more general situation, when we consider large, general analytic area Nevanlinna spaces not in the unit disk, but in the circular ring.In our paper, using same approach new parametric representations of mentioned large, general analytic area Nevanlinna spaces are presented. These results also can be applied or used in the future to obtain more general theorems on parametric representations of mentioned large,general area Nevanlinna type spaces not in the unit disk, but in more general circular domains

On Traces in Some Analytic Spaces in Bounded Strictly Pseudoconvex Domains

New sharp estimates of traces of Bergman type spaces of analytic functions in bounded strictly pseudoconvex domains are obtained. These are, as far as we know, the first results of this type which are valid for any bounded strictly pseudoconvex domains with smooth boundary

On some extremal problems in Bergman spaces in weakly pseudoconvex domains

We consider and solve extremal problems in various bounded weakly pseudoconvex domains in ℂn based on recent results on boundedness of Bergman projection with positive Bergman kernel in Bergman spaces Aαp$A_\alpha ^p$ in such type domains. We provide some new sharp theorems for distance function in Bergman spaces in bounded weakly pseudoconvex domains with natural additional condition on Bergman representation formula